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Spherical Lines: Great Circles

Spherical Lines: Great Circles
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2014-06-23 18:12
CircleCoordinate GeometrySolid Geometry
In collections Spherical Geometry Ideas
This example demonstrates great circles on a sphere, which are the intersections of the sphere with planes passing through its center. Use Sphere, PointIn, Plane, and IntersectPath commands to construct great circles. Suitable for high school and above students learning solid geometry.

GeoGebra Commands & Parameters

  1. Sphere((0, 0, 0), 1) → a
  2. PointIn(a) → B
  3. PointIn(a) → A
  4. Plane(O, B, A) → b
  5. IntersectPath(b, a) → c

AI Drawing Prompt Reference

Draw a unit sphere and select two points A and B on it. Construct a plane passing through these two points and the center of the sphere, then find the intersection of this plane with the sphere to form a great circle.
The prompt above was compiled from the original drawing commands and is for reference only.